Geodesics in Heisenberg Groups |
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Authors: | VALERY MARENICH |
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Affiliation: | (1) IMECC-UNICAMP, Caixa Postal 6065, CEP 13081-970 Campinas, SP, Brazil |
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Abstract: | We obtain equations of geodesic lines in Heisenberg groups H2n+1and prove that the ideal boundary of the Heisenberg group H2n+1is a sphere S2n-1with a natural CR-structure and corresponding Carnot-Carathéodory metric, i.e. it is a one-point compactification of the Heisenberg group H2n-1of the next dimension in a row. |
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Keywords: | Heisenberg group geodesic line ideal boundary. |
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